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31121232013 is a prime number
BaseRepresentation
bin11100111110111110…
…000101000010001101
32222022220002101112201
4130332332011002031
51002214013411023
622144044001501
72151133051564
oct347676050215
988286071481
1031121232013
1112220140263
126046530291
132c1c76abb1
141713312bdb
15c222a5bad
hex73ef8508d

31121232013 has 2 divisors, whose sum is σ = 31121232014. Its totient is φ = 31121232012.

The previous prime is 31121232007. The next prime is 31121232047. The reversal of 31121232013 is 31023212113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28955446569 + 2165785444 = 170163^2 + 46538^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31121232013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31121232073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15560616006 + 15560616007.

It is an arithmetic number, because the mean of its divisors is an integer number (15560616007).

Almost surely, 231121232013 is an apocalyptic number.

It is an amenable number.

31121232013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31121232013 is an equidigital number, since it uses as much as digits as its factorization.

31121232013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 31121232013 its reverse (31023212113), we get a palindrome (62144444126).

The spelling of 31121232013 in words is "thirty-one billion, one hundred twenty-one million, two hundred thirty-two thousand, thirteen".